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PRACTICE：Kognity IB Physics A.0 Measurements & Uncertainty

  Author: admin    Total: 39 Marks  Marks Earned: _____________

User Name: No Login  Start Time: 24/08/21 21:19  Switch to Whole-Paper Mode

Mark Problem
1#
 
Single-Choice ( 1.0 marks) (No. in Group 1/10) Whole-Paper View Save Problem  
第 1 题组 (共 10 题 10 分)
  Which of the following coul;1hglpn4b - mbl :tnb3d be a unit of power?

Correct Answer:     Click here for detailed solution
Mark Problem
2#
 
Single-Choice ( 1.0 marks) (No. in Group 2/10) Whole-Paper View Save Problem  
  By approximately how many powers of ten is the height of a human larger th+sshd2r4g 5ewb d1-,nxor co,p(v9zpan the height of a grainsc4 gewpsr,2 op(xhb+ dzdo-n1,r95v of sand?

Correct Answer:     Click here for detailed solution
Mark Problem
3#
 
Single-Choice ( 1.0 marks) (No. in Group 3/10) Whole-Paper View Save Problem  
  What is the value of k 1 vb9-yvgcvb6rb2 chn73og-$\frac{6.3 \mu \mathrm{m} \times 10 \mathrm{GN}}{2.1 \mathrm{~ms}} ?$

Correct Answer:    
Mark Problem
4#
 
Single-Choice ( 1.0 marks) (No. in Group 4/10) Whole-Paper View Save Problem  
  Which of the following is a fundamental uni n5r+( n8k4rsnad8lm st in the SI system?

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Mark Problem
5#
 
Single-Choice ( 1.0 marks) (No. in Group 5/10) Whole-Paper View Save Problem  
  The volume of the Earth is appiq bvp-x(ah3*p4n / ncroximately $10^{12} \mathrm{~km}^3$ and the volume of a grain of sand is approximately $1 \mathrm{~mm}^3$. To the nearest order of magnitude, if the Earth was hollow, how many grains of sand could it contain?

Correct Answer:    
Mark Problem
6#
 
Single-Choice ( 1.0 marks) (No. in Group 6/10) Whole-Paper View Save Problem  
  A farmer in Tanzania has an average life expectancy of 62 years. Which of the following is an estimate of his lifetime in seconds?

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Mark Problem
7#
 
Single-Choice ( 1.0 marks) (No. in Group 7/10) Whole-Paper View Save Problem  
  Estimate, to the nearest orox3a/*4xj eh rder of magnitude, the number of heartbeats of an average adult human in a day.e3xa/xj oh4r*

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Mark Problem
8#
 
Single-Choice ( 1.0 marks) (No. in Group 8/10) Whole-Paper View Save Problem  
  Which of the following contains o . w6s +*vgv vqms 9;/eukhn)zf0hk/*/ukuzrp ne fundamental unit and one derived unit?

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Mark Problem
9#
 
Single-Choice ( 1.0 marks) (No. in Group 9/10) Whole-Paper View Save Problem  
  If A=10.0 and B=0.50, which calculation will give the answer with the most dedo/ jjb+ *g0qycimal 0 oyq b*+j/gjdplaces?

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Mark Problem
10#
 
Single-Choice ( 1.0 marks) (No. in Group 10/10) Whole-Paper View Save Problem  
  A car has a mass of 1 plxwg1;sq h;pjxe1z rh,3k-p0v8lo- 000kg. A mouse has a mass of 10g. What is the order of magnitude of the ratio between the mass 0xsp-zpjwekq3h8ll ,vr -h 1g1; px;oof the car to that of the mouse?

Correct Answer:     Click here for detailed solution
Mark Problem
11#
 
Fill-in-Blank ( 1.0 marks) (No. in Group 1/29) Whole-Paper View Save Problem  
第 2 题组 (共 29 题 29 分)
  A train travels $95.9 \pm 0.3$ meters in $13.288 \pm 0.09$ seconds. What is the absolute uncertainty in its speed?  (数值)  (please only input numerical value without units and without the $\pm$ symbol.)

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Mark Problem
12#
 
Fill-in-Blank ( 1.0 marks) (No. in Group 2/29) Whole-Paper View Save Problem  
  A water tank is the shape of a cube ds37 fks; .gqv hu:mmx b;(p2uwith sides of $4.71 \mathrm{~m}$. Each side is measured with an uncertainty of $0.5 \%$. What is the absolute uncertainty in the volume of the tank?  (数值)  (please only input numerical value without units and without the $\pm$ symbol.)

Correct Answer:    
Mark Problem
13#
 
Fill-in-Blank ( 1.0 marks) (No. in Group 3/29) Whole-Paper View Save Problem  
  A pyramid has a square basernmksofw0 e7ai+ 2go p3 ,olte. i*z*6 of side $x$ and height $h$. The volume $V$ of the pyramid is given by the expression:
$$V=\frac{x^2 h}{3}$$
If $V$ is measured to $8.4 \%$ and $h$ is measured to $6 \%$, what is the percentage uncertainty of $x ?$  (数值) % (Remember to exclude the $\%$ symbol with your answer)

Correct Answer:     Click here for detailed solution
Mark Problem
14#
 
Single-Choice ( 1.0 marks) (No. in Group 4/29) Whole-Paper View Save Problem  
  The length of a pencil is measured using part of a metcn5.1n ic i))r3 uleaz uyc76lre rule that is graduated in millimetres, as shoci an)3 u)1z65lrucyli7.e ncwn below.

What is the length of the pencil?

Correct Answer:     Click here for detailed solution
Mark Problem
15#
 
Fill-in-Blank ( 1.0 marks) (No. in Group 5/29) Whole-Paper View Save Problem  
  The volume $V$ of a cone of height $h$ and radius $r$ is given by the expression:
$$V=\frac{\pi r^2 h}{3}$$
In a particular experiment, there is a $5.2 \% $ uncertainty in $V$ and a $3.1 \%$ uncertainty in $r$. What is the percentage uncertainty in $h$ ?  (数值) % (Remember to exclude the $\%$ symbol with your answer)

Correct Answer:     Click here for detailed solution
Mark Problem
16#
 
Fill-in-Blank ( 1.0 marks) (No. in Group 6/29) Whole-Paper View Save Problem  
  The radius of a balloon is measuhim ka 54h2(zt nk(h)vred to be $22.6 \pm 0.5 \; cm$. What is the percentage uncertainty in the calculated volume of the balloon?  (数值) % (please exclude the $\%$ symbol with your answer and treat the balloon as a sphere)

Correct Answer:     Click here for detailed solution
Mark Problem
17#
 
Fill-in-Blank ( 1.0 marks) (No. in Group 7/29) Whole-Paper View Save Problem  
  The period $T$ of oscillation of a pendulum of length $l$ is given by:
$$T=2 \pi \sqrt{\frac{l}{g}} .$$
If the uncertainty in $g$ is $1.9 \%$ and the uncertainty in $l$ is $3.1 \%$, what is the percentage uncertainty in $T$ ?  (数值) % (please only fill in numerical value without the % sign)

Correct Answer:     Click here for detailed solution
Mark Problem
18#
 
Fill-in-Blank ( 1.0 marks) (No. in Group 8/29) Whole-Paper View Save Problem  
  The lengths of the sides of a room areqi*y xr-2, +ea oqkbt: estimated as $10.0 \mathrm{~m}, 4.0 \mathrm{~m}$ and $3.0 \mathrm{~m}$, each with an uncertainty of $\pm 11 \%$. What is the absolute uncertainty in the volume of the room?  (数值)  $m^3$ (please only input numerical value without units and without the $\pm$ symbol.)

Correct Answer:     Click here for detailed solution
Mark Problem
19#
 
Fill-in-Blank ( 1.0 marks) (No. in Group 9/29) Whole-Paper View Save Problem  
  The potential differa14jhu+bvmdu)tc8t1; y 9 ndul 6 g*iuence ($V$) across a resistor is measured with a digital voltmeter to be $0.39 \; V$ . What is the percentage uncertainty in $V^2$ ?  (数值) % (please only input numerical value without units and without the $\pm$ symbol.)

Correct Answer:     Click here for detailed solution
Mark Problem
20#
 
Single-Choice ( 1.0 marks) (No. in Group 10/29) Whole-Paper View Save Problem  
  By averaging three measuw)v.br,; i9tj- lf yymrements of the same quantity which of the following can be r-r.y,tw vbfmly i)j ;9educed?

Correct Answer:     Click here for detailed solution
Mark Problem
21#
 
Single-Choice ( 1.0 marks) (No. in Group 11/29) Whole-Paper View Save Problem  
  A student measures a distance four tet :d*x( bb)s;k:c catimes. The readings are 37.8 cm, 37.9 cm, 38.1 cm, 38.2 cm. What is the best estimate of this measureme) cba(k xebtts:; dc*:nt?

Correct Answer:     Click here for detailed solution
Mark Problem
22#
 
Single-Choice ( 1.0 marks) (No. in Group 12/29) Whole-Paper View Save Problem  
  A student measures two w n30vx*6m7vgb;nict lengths as follows: $$a = (10 \pm 0.1) \; cm$$ $$b = (20 \pm 0.1) \; cm$$
Which of the following quantities has the largest percentage uncertainty?

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Mark Problem
23#
 
Single-Choice ( 1.0 marks) (No. in Group 13/29) Whole-Paper View Save Problem  
  The time for two events, a and oke5-k*nw7eo8u bv8 sb, are measured to be $(5.1 \pm 0.1)s$ and $(4.9 \pm 0.1)s$ respectively. In which of the following quantities is the fractional(percent) uncertainty the smallest?

Correct Answer:     Click here for detailed solution
Mark Problem
24#
 
Single-Choice ( 1.0 marks) (No. in Group 14/29) Whole-Paper View Save Problem  
  The variation of quantity P as quantity Q varies is plotted. Theory siwc2u+-xho) dovgo)xy(4c8 ntates that P should vary linu 8o4(cv-odi o2)+ywcxx gn h)early with Q.


Correct Answer:     Click here for detailed solution
Mark Problem
25#
 
Single-Choice ( 1.0 marks) (No. in Group 15/29) Whole-Paper View Save Problem  
  The length of a pencil is measured using part of a1ygbjm b ceix5xa*+8b1m-k( g measuring tape as shown below.18b5xxa+gi( yg* k eb-cbmm1j

What is the length of the pencil?

Correct Answer:     Click here for detailed solution
Mark Problem
26#
 
Single-Choice ( 1.0 marks) (No. in Group 16/29) Whole-Paper View Save Problem  
  The masses and weights of different objects are independently measured.do)wez(y4 u/-kc s (sc The graph is a plot of weight versus mass that include ze-sc(dw) /scyk uo4(s error bars.

What do these experimental results suggest?

Correct Answer:     Click here for detailed solution
Mark Problem
27#
 
Single-Choice ( 1.0 marks) (No. in Group 17/29) Whole-Paper View Save Problem  
  The resistance $R$, and cross-sectional area $A$, of equal lengths of wire are measured at constant temperature and a graph of $R$ against $\frac{1}{A}$ is plotted. Which one of the following graphs would be obtained if $R$ is directly proportional to $\frac{1}{A}$ and if there is a significant systematic error in the measurement of $R ?$
A B

C D

Correct Answer:     Click here for detailed solution
Mark Problem
28#
 
Fill-in-Blank ( 1.0 marks) (No. in Group 18/29) Whole-Paper View Save Problem  
  The lengths of the sides of a rectangulq2f0sf,cp dky k2*, )okj *gddo;0rcyar plate are measured, and the diagram shows the measured values with thei f yg s*k joy022;r,k0p)df,cdqc *dkor uncertainties.

What is the percentage error in the area of the plate?   %. (Remember to exclude the % symbol with your answer.)

Correct Answer:     Click here for detailed solution
Mark Problem
29#
 
Fill-in-Blank ( 1.0 marks) (No. in Group 19/29) Whole-Paper View Save Problem  
  The density of a solid sphere is measured with percentage unceole)87uh x+h ertainty of 3%. The radius of the sphere is 6.0 ± 0.2 cm. What is the percentage uncxe)uohh+ 8le7ertainty in the mass of the sphere?  (数值) % (Please do not include the % simbol in the blank)

Correct Answer:     Click here for detailed solution
Mark Problem
30#
 
Single-Choice ( 1.0 marks) (No. in Group 20/29) Whole-Paper View Save Problem  
  Experimental data has showp+-h r)gqd*j ax3-7y st0lnyau(h4 cin that:
$$
P=\frac{g h^2}{u^3}
$$
where $g$ is a constant. If the percentage uncertainties in $h$ and $u$ are $a$ and $b$ respectively, what is the percentage uncertainty in $P ?$

Correct Answer:     Click here for detailed solution
Mark Problem
31#
 
Single-Choice ( 1.0 marks) (No. in Group 21/29) Whole-Paper View Save Problem  
  An experiment used to measure the acceleration due to gravity prf636o9y,j yq,aj c-l vaj da1soduces the follo1oyq9j-,3l 6a dvyjf s,jac6awing results:
$\begin{array}{llllllllll}7.83 & 6.98 & 7.52 & 8.01 & 7.76 & 7.15 & 6.87 & 7.25 & 8.35 & 7.54\end{array}$
Which of the following statements is true about these data?
Are there random or systematic errors, both, or neither?
(Acceleration due to gravity, $g$, on Earth is usually taken as $9.81 \mathrm{~m} \mathrm{~s}^{-2}$ ).

Correct Answer:     Click here for detailed solution
Mark Problem
32#
 
Fill-in-Blank ( 1.0 marks) (No. in Group 22/29) Whole-Paper View Save Problem  
  A rectangle was drawn using a ruler, such that each measurement has an uncerca i. m7(s1*lr065v epsebscmtaintbs l7*(s5mi.vcrpeca10s 6m e y of $0.5 \mathrm{~cm} .$

What is the absolute uncertainty in the area of the entire rectangle (i.e. combined small and big rectangles), in $\mathrm{cm}^2$ ?    $cm^2$ (please only input numerical value without units and without the $\pm$ symbol.)

Correct Answer:     Click here for detailed solution
Mark Problem
33#
 
Fill-in-Blank ( 1.0 marks) (No. in Group 23/29) Whole-Paper View Save Problem  
  For an object of mass ept vgsy hy4k(69-yv7$(2.0 \pm 0.1) \mathrm{kg}$, what percentage uncertainty in the velocity will give a $7.5 \%$ uncertainty in the kinetic energy ($KE = \frac{1}{2}mv^2$) ?  (数值) % (do not include the percent sign in your final result)

Correct Answer:     Click here for detailed solution
Mark Problem
34#
 
Single-Choice ( 1.0 marks) (No. in Group 24/29) Whole-Paper View Save Problem  
  An ammeter has a non-negligible zero offset error. W9 rdx mc5o13au,hjzc2 hich of the following statements dcrcmh13,u9oj z2 x5 ais correct?

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Mark Problem
35#
 
Fill-in-Blank ( 1.0 marks) (No. in Group 25/29) Whole-Paper View Save Problem  
  A student measures a length five times. All of the measurements lil. 7)s h0a/fz)5vqsro*/rvr34giq nuzk8l rq e between $18.8 \mathrm{~cm}$ and $19.2 \mathrm{~cm}$. What should the student quote as the absolute uncertainty in the length? The absolute uncertainty is    $cm$ (please only input numerical value without units and without the $\pm$ symbol.)

Correct Answer:    
Mark Problem
36#
 
Single-Choice ( 1.0 marks) (No. in Group 26/29) Whole-Paper View Save Problem  
  A piece of string 9.5 ± 0.3 cm long is cut from a lon 5vlmj;t+84amgimd -dger piece that is 12.6 ± 0.6 cm long. How long isldgam+84v5 id;jmm -t the remaining piece of string?

Correct Answer:     Click here for detailed solution
Mark Problem
37#
 
Fill-in-Blank ( 1.0 marks) (No. in Group 27/29) Whole-Paper View Save Problem  
  A current of value $I$ flows through a resistor of resistance $R$ and the power dissipated is $I^2 R$. The value of $I$ has an uncertainty of $\pm 4 \%$ and the value of $R$ has an uncertainty of $\pm 5 \%$. What is the percentage uncertainty in the calculated power dissipation?  (数值) % (please only input numerical value without units and without the $\pm$ symbol.)

Correct Answer:    
Mark Problem
38#
 
Fill-in-Blank ( 1.0 marks) (No. in Group 28/29) Whole-Paper View Save Problem  
  A force of 10.0 ± 0.4 N is applied to a mass oj k0tpsx-aum hl3 .7 t.rh9/fvf 2.0 ± 0.10 kg, causing it to accelerate. What is the percentage uncertainty of ixk3/. a- tpjf9vrm7lht0su .hts acceleration?  (数值) % (do not include the percent sign in your result)

Correct Answer:     Click here for detailed solution
Mark Problem
39#
 
Fill-in-Blank ( 1.0 marks) (No. in Group 29/29) Whole-Paper View Save Problem  
  The radius of a circlqy;6ohwx+/,wqs)bu9vxe :o u*i /nzze of wire is measured to be 10.0 ± 1.3 cm.
What is the percentage error in the area of the loop?  (数值) %
What is the percentage error in the circumference of the loop?  (数值) %

Correct Answer:     Click here for detailed solution
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